The PDF of the session is in the link pinned in the telegram channel t.me/JEEnexus
@tanmaytheminecrafty50418 күн бұрын
Righteous and black 🐈⬛🖤 and black flowers and black 🖤 and anties and anties and sky as the blue 🔵 and anties
@target__iitАй бұрын
𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒 0:57 Nature of Chapter 2:22 Weightage 3:07 *Index* 4:38 *Critical Topics* 7:16 *Describing Matrices* 8:11 Types of Matrices (Based on Looks) 10:45 *In Square Matrix* 11:28 Trace *Further Types:-* 13:48 Triangular Matrix 18:05 Diagonal Matrix 19:19 Scalar Matrix 19:32 Identity Matrix 20:07 *Algebra of Matrices* 20:33 ① Equality of Matrices 30:41 ② Addition of Matrices 32:15 ③ Multiplication of Matrices by Constant 34:00 ④ Multiplication of two Matrices 46:59 *Properties of Multiplication* 47:02 1️⃣ It’s NOT Commutative 48:22 NOTE: (A + B)² 50:45 _Remember this Question❗_ 👉 If AB=A & BA=B then, A²=A & B²=B 56:01 I and A are Commutative 59:25 Alternate Method to calculate high powers of matrix 1:13:49 2️⃣ It’s Associative 1:14:09 3️⃣ It Distributes over addition 1:14:42 4️⃣ Multiplicative Identity exists 1:15:08 5️⃣ Multiplication with Null gives Null 1:15:16 REMARK: ❪A×B=O ≠⟩ A=O or B=O❫ 1:16:52 *Relation between Matrices & Determinant* 1:17:02 ⓐ We find det of sq matrix 1:17:17 ⓑ |A × B| = |A| × |B| 1:18:27 ⓒ |K × Aₙ| = Kⁿ |A| 1:22:49 _Good Question_ 1:27:26 *Transpose and it's Properties* ① (Aᵀ)ᵀ = A ② (A + B)ᵀ = Aᵀ + Bᵀ ③ (KA)ᵀ = K(A)ᵀ ; K is Constant ④ (AB)ᵀ = BᵀAᵀ ⑤ (Aⁿ)ᵀ = (Aᵀ)ⁿ 1:28:58 *Some Special types of Matrices* 1:29:13🔸Symmetric Matrix ❪ Aᵀ = A ❫ 1:29:48🔸Skew Symmetric Matrix ❪ Aᵀ = -A ❫ 1:30:20 Determinant of Odd Order Skew Symmetric Matrix = 0 1:35:51 A = ½(A + Aᵀ) + ½(A - Aᵀ) 1:45:44🔸Hermitian & Skew Hermitian Matrix 1:49:04🔸Orthogonal Matrix ❪ AAᵀ = I ❫ Determinant of Orthogonal Matrix = ±1 1:53:01 Shortcut to identify Orthogonal Matrix 1:59:01 _Standard Question_ (Remember❗) 2:03:05🔸Unitary Matrix ❪ A × (A̅)ᵀ = I ❫ 2:03:16🔸Idempotent Matrix ❪ A² = A ❫ 2:04:10🔸Involutory Matrix ❪ A² = I ❫ 2:04:33🔸 Nilpotent Matrix ❪ Aᵐ = O ❫ 2:05:43🔸Singular & Non-Singular Matrix 2:06:03 *Adjoint of Matrix* 2:07:26 *Imp Result:* 👉 A × (adj A) = |A| Iₙ = (adj A) × A 2:08:50 *Properties of Adjoint* ① |adj A| = |A|ⁿ⁻¹ ② |adj(adj A)| = |A|⁽ⁿ⁻¹⁾^² ③ |adj(adj(adj(…r times)))| = |A|⁽ⁿ⁻¹⁾^ʳ ④ adj(adj A) = |A|ⁿ⁻² A ⑤ adj(Aᵀ) = (adj A)ᵀ ⑥ adj(KA) = Kⁿ⁻¹ (adj A) ⑦ adj(Aᵐ) = (adj A)ᵐ ⑧ adj(AB) = (adj B)(adj A) 2:26:54 Proofs 2:32:38 *Inverse of Matrix* 2:36:53 _Standard Question_ 2:41:27 NOTE THIS DOWN‼️ 2:47:31 *Properties of Inverse* ① (A⁻¹)⁻¹ = A ② |A⁻¹| = 1/|A| ③ (Aᵀ)⁻¹ = (A⁻¹)ᵀ ④ (AB)⁻¹ = B⁻¹ A⁻¹ ⑤ (Aⁿ)⁻¹ = (A⁻¹)ⁿ 3:01:03 *Elementary Transformations* 3:02:32 Theorem 3:05:57 *Solving System of Linear Equations using Matrices* 3:09:17 Number of Solutions 3:10:24 *Cayley Hamilton Theorem* 3:11:04 Characteristic Equation 3:12:14 Theorem 3:15:48 DIRECT RESULTS 🌟 3:16:58 Sum & Product of Roots of characteristic equation 3:21:49 _Matrix Equation_ 3:28:41 If roots of characteristic eqn of A is α, β, γ… , then roots of characteristic eqn of Aⁿ is αⁿ, βⁿ, γⁿ…
@target__iitАй бұрын
*Properties of Trace :-* ① Tr(pA) = pTr(A) ② Tr(A + B) = Tr(A) + Tr(B) ③ Tr(AB) = Tr(BA), provided both AB & BA exists *NOTE :-* Tr(AAᵀ) = Tr(AᵀA) = Sum of sq. of elements of A
@sumitkashyap03Ай бұрын
Thanks bhai❤
@CHIRAYUCHOUDHARY-jq1fwАй бұрын
bhai ne pura chapter comment mei he bata diya
@target__iitАй бұрын
@@CHIRAYUCHOUDHARY-jq1fw yeah toh mera khasiat hai, mai notes nahi banata, yeh karta hu. It's my own invented style
@itsTreyski999Ай бұрын
@@target__iit ai hai ya khud likha hai?
@Beastlife1223 ай бұрын
Limits needed !! Likes here for this chapter .
@shivanisuraj64253 ай бұрын
@@Beastlife122 yesssss
@BenStokes12343 ай бұрын
35:25 38:11 : multiply krne se pehle order (m×p) likh liya kro to avoid any sort of mistake 35:46 36:20 : Prouct mein - pre multiplier ki nth row product ki nth row degi 40:57 : Ek se jyada matrices ka product : at a time we can multiply only 2 matrices and then observe pattern to find final answer 51:48 1:27:03: Aese q mein shuru kro, given ko use kro efficiently, simplify (manipulation reqd in good q) kro aur ans aa gya Matrices ke algebra mein badi power aaye : 56:29 1:09:40 2:08:13 2:33:16 : if • A and B commute (AB=BA) then directly open krdo (BT/ Formula). • 53:14 54:27 2:01:35 (🌟) If A and B dont commute then 2 ko multiply, fir ek aur ke saath fir ke ek aur ke saath 1:00:17 1:01:29 1:08:50 : Kisi particular matrice (M) ki badi power nikalni h toh break it as following - (M = I + A) now to find badi power of M apply BT on (I + A) as I and A commute. 1:24:57 1:23:33 1:31:08 1:31:35 1:50:05 2:27:20 2:42:27 : Det chahiye, toh dono side det apply krdo. 1:28:19 2:10:59 2:48:33 : Power and Transpose hamesha andar bahar ja skte 1:33:09 1:34:38 1:40:02 1:42:33 : To find whether matrice is Symm or Skew Symm - jiske baare mein poocha h use ek matrice kehdo and name it (let) C. Then apply transpose on it (defn), apply properties, if it's equal C then Symm and if it's - of C then it's skew symm 🌟 2:30:30 : Adj kahi bhi pareshaan kre, multiply it with A and use { A×adjA = |A|×I } 2:34:35 2:36:27 2:36:48 : A matrice is invertible : use det of that matrice is non 0 2:35:19 : Adj of 2×2 matrice : exchange elements along diagonal, and insert - along the other diagonal. For 3×3 matrice : adj will be found by taking transpose of cofactor matrice 2:37:14 2:37:53 2:45:27 2:45:58 2:49:21 : Some matrice is given non singular (∆ is non 0) use this info as, we can multiply by inverse of given matrice (as inverse exists) 2:40:54 2:41:31 : Adding or subtracting the given eqns proves handy. (If not then resort to what you do best)
@RajdeepMishra73 ай бұрын
God bless you
@Yadavboy023Yadav2 ай бұрын
❤❤thanks bro
@Phontrex2 ай бұрын
😊
@Yuvika-x7vАй бұрын
Guys believe me best video ever of matrices on KZbin
@Jee20250Ай бұрын
Sir I always got around 150-160 marks in my mains coaching test but because of you I get a good score in maths and total around 200
@shubhamsaini48713 ай бұрын
Sir kitna achha hota ki chemistry and physics bhi aap se hi pdhne ko milta.. ❤
@ankushmondal10612 ай бұрын
0:00 Introduction & Nature of Chapter 3:07 Index & Critical Topics 7:10 Describing Matrices & Types of Matrices 20:09 Algebra of Matrices 1:16:42 Relation b/w matrices & Determinants 1:27:25 Transpose & its properties + Some special Matrices 2:15:27 Adjoint of Matrix and its properties 2:42:09 Inverse of a matrix & its properties 3:10:35 Elementary transformations 3:15:15 Solving system of linear equations using matrices 3:19:57 Characteristic equation & Cayley Hamilton Theorem
@Reaves2453 ай бұрын
PNC needed sir !!!
@Prakhar_Sharma1233 ай бұрын
Yes sir plz make a vedio on permutations and combinations 🙏🙏
@kushagrasharma59833 ай бұрын
PNC cover Kara do sir plzzz
@UchihaSasuke-i7p3 ай бұрын
Ji sir PNC ke ques nhi hote plz cover Kara do
@JustTakezo3 ай бұрын
Ap log Physics kidhar se cover kar rhe ho?
@Reaves2453 ай бұрын
@@JustTakezo Ashish Arora sir
@18football183 ай бұрын
Coordinate geometry advanced level needed 💯💯💯
@kaliaiit3 ай бұрын
That will come after some time Prachi.... Before that, i will be covering seq series, pnc and binomial.. God bless u❤
@18football183 ай бұрын
Okay sir Very grateful that you're replying to my comments personally I will make you proud in jee 2025@@kaliaiit
@apoorwaraj-ev7hjАй бұрын
59:00:00 binomial theorem 01:55:00 orthogonal 2:27:00 proof of matrix adjoint
@Prince_mittal-nl4djАй бұрын
sir at 56:30 as we know (I-A)^2 = I-A(by solving) THEN (I-A)^5 WILL EQUAL TO I-A HENCE OPTION C. NO NEED TO USE COMBINATION
@PhoenixX6T4Ай бұрын
yes, it's ez method.
@18football183 ай бұрын
Thankyou very much for the lecture Bhai Starting the lecture Will complete with repetition and sheet by tomorrow Thankyou Bhai mere bhai (Apna promise yaad hai? 😊)
@18football183 ай бұрын
Completed ✅
@kaliaiit3 ай бұрын
Yes prachi.... Keep it up....❤
@18football183 ай бұрын
Thankyou for replying bhai ❤@@kaliaiit
@vineetdas1096Ай бұрын
2:55:55 revise after mains 1st attempt self note!
@advaithbadami10263 ай бұрын
What’s the probability that I was searching for a lecture on matrices and sir posted a lecture on it today only…
@DeekshaKumari-rx5mb3 ай бұрын
Same
@AlokEditX0628 күн бұрын
Same same 😂 it's a destiny ( God Sign 😅)
@abiroop_B_ANS-17172 ай бұрын
00:11 Introduction to Matrices 01:05 Matrices Class 12 02:28 Importance of matrices and determinants in JEE preparation 03:12 Complete coverage of matrices in 4.5 hours 04:37 Transposition and addition of matrices are critical topics. 05:24 Matrices is an important topic in this chapter. 06:57 Understanding Matrices in detail 07:43 Notations in determinants reveal row and column positions 09:28 Understanding the number of rows and columns in matrices. 10:22 Understanding square matrices in depth 12:23 Understanding diagonal elements of a matrix 13:26 Understanding Triangular Matrices in Symmetric Elements 15:45 Diagonal elements are important in matrices 16:53 Diagonal in a lower triangular matrix 18:56 Understanding diagonal matrices and scalar matrices 19:58 Understanding the concept of Identity Matrix 21:40 Understanding Matrix Operations 22:30 Revision techniques for solving 4th degree equations 24:48 Understanding roots and relation between p and q 26:00 Understanding matrix multiplication concepts 28:20 Explaining matrix equations with examples 29:34 Understand the concept of matrices subtraction. 31:32 Matrix addition and subtraction order importance 32:27 Matrix multiplication and constant multiplication explained 34:27 Multiplying matrices involves matching columns and rows. 35:21 Understanding matrix multiplication order 37:47 Understanding matrix creation using matrix multiplication 38:43 Understanding matrix multiplication and avoiding confusion 40:36 Matrix multiplication rules 41:36 Understanding matrix multiplication and its patterns 43:40 Introduction to matrices and their columns 44:55 Understanding matrix multiplication and equations 47:07 Understanding matrix multiplication concepts 48:06 Matrix value does not change by multiplying it from one side 50:31 Understanding the concept of matrices and its application 51:35 Understanding A equals to B and B equals to A 53:36 Understanding matrix multiplication step by step 54:41 Explaining the process of multiplying matrices step by step. 56:27 Understanding matrix multiplication and power 57:47 Explaining the concept of finding the cube of a given number. 1:00:00 Splitting matrices into two parts for quick calculations 1:00:57 Understanding matrix powers and identities 1:03:21 Understanding matrix operations and identity matrix. 1:04:27 Understanding matrix operations in detail 1:06:45 Understanding the power of matrix operations 1:08:14 Understanding the technique to calculate the power of a matrix. 1:10:22 Techniques for manipulating squares in matrices 1:11:30 Squaring method to maintain values of i and m. 1:13:43 Understanding the properties of multiplication in matrices 1:14:36 Introduction to Multiplicative Identity Matrix 1:16:41 Understanding the relationship between matrices and determinants 1:17:32 Multiplying matrices before taking determinants and its importance 1:19:36 Understanding matrix operations and determinants in a 3x3 matrix 1:20:31 Understanding determinants and powers in matrices 1:22:34 Understanding matrices and focusing on key concepts. 1:23:26 Understanding the importance of determining values of a and b 1:25:23 Determinant of a Nil Power is Zero 1:26:15 Understanding the concept of determinants and matrices. 1:28:28 Matrices have properties of transposition and reversal law 1:29:26 Understanding key properties of diagonal and skew-symmetric matrices 1:32:06 Proof that determinant of a 0 matrix is 0 1:32:58 Understanding Symmetric Matrices 1:35:27 Transposing property is important for solving problems 1:36:16 Symmetric matrix addition explained 1:38:11 Understanding symmetric part of a matrix 1:39:20 Symmetric Matrices Proof Techniques 1:41:11 Understanding matrix properties: Symmetric and Transpose 1:42:37 Proving the symmetry of a matrix using transpose and product. 1:44:42 Transposing a power of 4 and understanding its impact. 1:45:38 Matrix transposition and conjugate are key concepts. 1:48:35 Understanding the types of matrices is crucial in this chapter. 1:50:11 Understanding determinants and their properties 1:52:39 Understanding matrix magnitudes and units 1:54:00 Dot product of perpendicular vectors is zero 1:56:47 Introduction to Matrices in Hindi 1:57:58 Introduction to Matrices and Unit Vectors 2:00:20 Understanding 2023 A transpose standard format 2:01:19 Understanding matrix powers and transposition 2:03:27 Proof of a Squared and b Squared 2:04:19 Identity matrices and power matrices 2:05:49 Understanding Singular and Non-Singular Matrices 2:06:36 Understanding Factor Matrix in Matrices 2:08:36 Importance of understanding the properties of matrices 2:09:35 Understanding the determinant of a single ad joint point. 2:11:22 Understanding Transposed Inverse Determinants 2:12:18 Understanding determinants of matrices 2:14:22 Determinant of a 5x5 matrix and its square 2:15:10 Introduction to matrices and preferred method 2:17:04 Determining the value of a determinant of a matrix 2:17:58 Understanding determinant of a square matrix 2:20:25 Understanding matrix operations with an example 2:21:31 Understanding constants, values, and determinants in matrices 2:23:47 Understanding properties and determinants of matrices. 2:24:43 Importance of Applying Determinant Concept 2:26:34 Importance of proving results in JEE Main & Advanced 2:27:34 Determinants of Matrices 2:29:41 Understanding the concept of addition of matrices 2:30:44 Multiplying matrices and determining the result 2:33:00 Understanding inverse of a matrix 2:33:58 Understanding the concept of Invertible Matrices and Identity Matrix 2:35:55 Determinant is evaluated, need to find adjoint joint 2:36:38 Inverting a matrix with non-zero determinant 2:38:31 Understanding equality of matrices and solving options 2:39:41 Product of two matrices can be zero even if individual elements are non-zero. 2:41:41 Matrix questions require addition or subtraction for solving 2:42:34 Understanding determinants in matrices. 2:44:41 Explaining the possibilities and cases in matrices 2:45:44 Multiplying with the inverse of a non-zero determinant 2:47:49 Understanding determinants and applying them 2:48:43 Understanding the concept of matrix reversal law 2:50:56 Multiplying matrices step by step 2:52:06 Understanding Invertible Matrices and Joint Addition 2:54:10 Multiplying matrix A by its determinant gives its inverse 2:55:21 Concept of Joint of Two Matrices 2:57:03 Understanding determinants in addition and product 2:57:54 Understanding the use of options and concepts as per the question 2:59:54 Determinant of a matrix can be easily calculated using a zero or non-zero approach 3:00:46 Understanding Elementary Transformations in Matrices 3:02:16 Formation of equivalent matrices using elementary operations 3:03:05 Performing elementary row operations on matrices 3:05:31 Usage of matrices in solving linear equations 3:06:21 Introduction to Matrices and Linear Systems of Equations 3:08:21 Introduction to forming equations using matrices 3:09:14 Understanding determinants and unique solutions in JEE Main & Advanced 3:11:22 Characteristic equation and determinant 3:12:39 सेटिस्फाई हो रहा है जी 3:14:38 Understanding matrix operations for solving equations 3:15:33 Multiplying by a scalar in fourth and fifth power 3:17:37 Properties of determinants and their relations with matrices 3:18:29 Understanding the process of creating equivalence and proceeding with it 3:20:25 Understanding 3x3 matrices and characteristics equations 3:21:26 Understanding Matrix Equations 3:23:47 Understanding characteristic equation and its roots 3:24:50 Understanding characteristic equation of a matrix. 3:26:48 Understanding matrix operations and applications. 3:28:01 Adding and subtracting matrices explained 3:30:24 Roots of Characteristic Equation 3:31:55 Understanding the powers in matrices 3:33:50 Understanding the concept of minus beta and its implications 3:34:56 Introduction to solving matrices without seeing solutions 3:36:39 Information about pricing and schedule for test series. 3:37:39 Encouragement to continue with preparation and helping others.
Next video on total differential calculus please 🙏 🙏 🙏 🙏 🙏 🙏 🙏
@AyushSinha-lb1qy3 ай бұрын
Sir please permutation and combination
@dhruvupadhayay94792 ай бұрын
thank you sir completed the chapter
@studyhard-e6fАй бұрын
Which one is better new one shot or a yr old one pls tell
@PiyushMahajan-r3jАй бұрын
New
@Tripzy-ey7cw5 күн бұрын
New
@Tripzy-ey7cw5 күн бұрын
New
@studyhard-e6f5 күн бұрын
Thanks 🙏
@aryadubey47123 ай бұрын
Sir can u please tell kb tak is series se syllabus over hoga?
@Misama-sinaАй бұрын
3:24:45 sir here can we just multiple the equation by A? Then we can compare the tr(a) from the equation which is 5 and then use product of roots formula?
@deepasoni61093 ай бұрын
Bhai Ab Pahle Vectors and 3d karwo do 2025 ke liye😊
@Unstoppable023Ай бұрын
2:50:24 ❤
@AmandeepSinha-fm1veАй бұрын
Guyzz, I'm studying this chap 1st time only, Is this lecture is enough for Mains ?????
@LelouchLamperouge-h3rАй бұрын
Yes, definitely. Infact almost all of Arvind sir's lectures are enough for JEE advanced aswell, unless mentioned otherwise
@Irl7818 күн бұрын
Thanks ❤@@LelouchLamperouge-h3r
@Beastlife1223 ай бұрын
Sir ji. Please provide physics chapters also...
@satyaswaroop97572 ай бұрын
Bounce Back dekhle Unacademy atoms me
@Im.varunnnКүн бұрын
completedd!
@prasannalohe97272 ай бұрын
1:50:00
@Xujin_huc099903 ай бұрын
51:08
@siddhant2399Ай бұрын
1:54:30 2:10:30 3:05:15
@ayaanansari11923 ай бұрын
Ajoint of matrix2:05:59
@ShanIsCuler2 ай бұрын
❤ best lecture
@Harsh-zq1qc3 ай бұрын
Sequence and series please 😢
@hazmiese3 ай бұрын
1:00:27 1:11:59
@adityakushwaha6023 ай бұрын
very good ques at 2:51
@Itzyadavno13 ай бұрын
Sir next pnc and binomial theorem 😊❤❤
@Suresh_NIT_delhi23 күн бұрын
got NIT DELHI CSE in general ranking THANK YOU SO MUCH SIR LOVE YOU A LOT
@pw-alive91292 ай бұрын
God bless you shera ☠️
@priyanshuchauhanvlogs9357 күн бұрын
❤❤JAI SHREE RAM JI ☺️☺️ JAI SHREE GANESH JI 😊 JAI SHREE KRISHNA JI ☺️☺️ THANK YOU SO MUCH SIR JI 😊🙏